Saturated sliding mode control with limited magnitude and rate
This study is concerned with the sliding mode control design subject to actuator saturation. The actuator saturation is formulated with the rate limitation and the standard magnitude limitation. Both the saturated sliding mode control approaches against the known and the unknown bounded uncertaintie...
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| Published in | IET control theory & applications Vol. 12; no. 8; pp. 1075 - 1085 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
The Institution of Engineering and Technology
22.05.2018
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1751-8644 1751-8652 |
| DOI | 10.1049/iet-cta.2017.1081 |
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| Abstract | This study is concerned with the sliding mode control design subject to actuator saturation. The actuator saturation is formulated with the rate limitation and the standard magnitude limitation. Both the saturated sliding mode control approaches against the known and the unknown bounded uncertainties are discussed. The stability analysis for the resulting overall closed-loop systems is conducted. Moreover, several optimisation conditions are established to estimate the attraction domain of the saturated system under the designed controllers, by determining the invariant set of the system. Finally, simulation examples are shown to illustrate the proposed control design scheme. |
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| AbstractList | This study is concerned with the sliding mode control design subject to actuator saturation. The actuator saturation is formulated with the rate limitation and the standard magnitude limitation. Both the saturated sliding mode control approaches against the known and the unknown bounded uncertainties are discussed. The stability analysis for the resulting overall closed‐loop systems is conducted. Moreover, several optimisation conditions are established to estimate the attraction domain of the saturated system under the designed controllers, by determining the invariant set of the system. Finally, simulation examples are shown to illustrate the proposed control design scheme. |
| Author | Wang, Siyi Gao, Yabing Liu, Jianxing Wu, Ligang |
| Author_xml | – sequence: 1 givenname: Siyi surname: Wang fullname: Wang, Siyi organization: Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin 150001, People's Republic of China – sequence: 2 givenname: Yabing surname: Gao fullname: Gao, Yabing organization: Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin 150001, People's Republic of China – sequence: 3 givenname: Jianxing surname: Liu fullname: Liu, Jianxing email: jx.liu@hit.edu.cn organization: Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin 150001, People's Republic of China – sequence: 4 givenname: Ligang surname: Wu fullname: Wu, Ligang organization: Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin 150001, People's Republic of China |
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| Copyright | The Institution of Engineering and Technology 2021 The Authors. IET Control Theory & Applications published by John Wiley & Sons, Ltd. on behalf of The Institution of Engineering and Technology |
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| Keywords | uncertain systems stability analysis known bounded uncertainties invariant set control system synthesis unknown bounded uncertainties set theory optimisation conditions closed loop systems optimisation saturated sliding mode control design actuators standard magnitude limitation invariance actuator saturation attraction domain closed-loop systems variable structure systems stability rate limitation |
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| SubjectTerms | actuator saturation actuators attraction domain closed loop systems control system synthesis invariance invariant set known bounded uncertainties optimisation optimisation conditions rate limitation Research Article saturated sliding mode control design set theory stability stability analysis standard magnitude limitation uncertain systems unknown bounded uncertainties variable structure systems |
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| Title | Saturated sliding mode control with limited magnitude and rate |
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